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One month greg rented 9 movies and 7 video games for a total of $72. The next month he rented 3 movies and 5 video games for a total of $42. Find the rental cost for each movie and each video gameRental cost for each of movie Rental cost for each video game

User Jon Carter
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1 Answer

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Let the cost of one movie is x and one vidoe is y :

One month greg rented 9 movies and 7 video games for a total of $72.

Cost of 9 movies and 7 videos = $72 for one month

i.e. 9x + 7y = 72

The next month he rented 3 movies and 5 video games for a total of $42.

Cost of 3 movies and 5 video games = $42

3x + 5y = 42

Thus, the system oof equation :

9x + 7y = 72 ( 1 )

3x + 5y = 42 ( 2 )

Solve the system of equation by using elimination method :

Multiiply the equation (2) by 3 :

3(3x + 5y) = 3 x 42

9x + 15y = 126

Subtract the above equation from ( 1 )

9x + 15y - 9x - 7y = 126 - 72

8y = 54

Divide both side by 8

8y/8 = 54/8

y = 6.75

Substitute the value of y = 6.75 in the equation ( 1)

9x + 7y = 72

9x + 7( 6.75) = 72

9x + 47.25 = 72

9x = 72 - 47.25

9x = 24.75

x = 24.75/9

x = 2.75

So, cost price for rent of one movie is x = $2.75

Cost price for rent if the one video game is y = $ 6.75

Answer :

Rental cost of each movie is $2.75

Rental cost of each video game is $6.75

User Duncan Gravill
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2.8k points
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